Acomputer software exists so that the cursor of the program begins and ends at the origin of the plane. a program
is written to draw a triangle with vertices (1,4), ,2), and ,1) so that the cursor only moves in straight lines
and travels from the origin to then to then to then to and then back "home" to the origin.
a. sketch the cursor’s path (i. e., sketch the entire path from when it begins until when it returns "home").
b. what is the approximate total distance traveled by the cursor?
c. assume the cursor is positioned at and is moving horizontally toward the y-axis at
2 / 3 units per second.
how long will it take to reach the boundary of the triangle?

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system

what are the answer choices given for this problem?

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.